What is expand (xy^2)/(y/3*1/(3x)) ?

The solution to expand (xy^2)/(y/3*1/(3x)) is 9x^2y

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expand (xy^2)/(y/3*1/(3x))

expand

\frac{x y ^{2}}{\frac{y}{3} \cdot \frac{1}{3 x}}

9 x^{2} y

Solution steps

\frac{x y ^{2}}{\frac{y}{3} \cdot \frac{1}{3 x}}

Multiply

\frac{y}{3} \cdot \frac{1}{3 x} : \frac{y}{9 x}

= \frac{x y ^{2}}{\frac{y}{9 x}}

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{x y ^{2} \cdot 9 x}{y}

Cancel the common factor:

y

= 9 xx y

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

xx = x^{1 + 1}

= 9 x^{1 + 1} y

Add the numbers:

1 + 1 = 2

= 9 x^{2} y

A (- 1, - 2)

\frac{( x - 3 ) ^{2} ( x + 2 )}{( x + 3 )}

\frac{2 x}{( x ^{2} - 1 ) ^{2}}

\frac{d}{d x} ((f (x)) (6 x^{3} - 5))

- \frac{1}{( x + 1 ) ( x - 1 )}

What is expand (xy^2)/(y/3*1/(3x)) ?
The solution to expand (xy^2)/(y/3*1/(3x)) is 9x^2y